The frisbee pie company can make pie tins for bakeries, which are willing to pay ($40 - $2.45*q1) per dozen, where q1 is the number of dozens of pie tins. but the fraternities and sororities at the nearby university are willing to pay ($38 - $3.05*q2) per dozen, where q2 is the number of dozens of pie tins {to be used to throw around the front lawns of their houses}. it costs ($22 + $2.65*q) to produce q dozen tins. management wants to maximize profit (i. e., revenue minus cost).write out the complete algebraic formulation (decision variables, objective function, constraints).